Question

Yo you >>>>Drag the phrases into the box to match each expression.

1:6x+3
2:​3x−6​
3:​6(x+3)​
A:6 divided by number times 3 B:6 less then 3 plus a number C:3 more than the quotient of 6 and a number D:3 more than the product of 6 and a number divided by 3 E:6 more than a number divided by the product of 6 and the sum of a number a 3 F:6 less than the product of 3 and a number

Answer 1

Algebraic expressions are matched with corresponding verbal descriptions based on operations involved, such as addition, multiplication, and the combining of terms.

Step-by-step explanation:

Matching each algebraic expression with the correct phrase involves understanding the different operations and how they are represented in words.

6x+3: This expression can be interpreted as '3 more than the product of 6 and a number'. So, the correct phrase is D: 3 more than the product of 6 and a number.

3x−6: This expression means '6 less than the product of 3 and a number', making the corresponding phrase F: 6 less than the product of 3 and a number.

6(x+3): This expression translates to 'the product of 6 and the sum of a number and 3', making the matching phrase C: 6 more than the product of 6 and the sum of a number a 3.

It's important to understand that operations must apply to every term when dealing with equality and to be attentive to the rules of arithmetic signs when multiplying or dividing numbers with different signs, as described in the examples.